Question

draw a line representing the
ise\ and a line representing the
un\ of the slope of the line in simplest form. click twice to plot each segment. click a segment to delete it.

Explanation:

Step1: Identify two points on the line

Let's assume two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line. For example, if the line intersects the x - axis at \((- 4,0)\) and the y - axis at \((0,-4)\).

Step2: Calculate the rise and run

The rise is the change in the y - values: \(y_2 - y_1=-4 - 0=-4\). The run is the change in the x - values: \(x_2 - x_1=0-(-4) = 4\).

Step3: Simplify the slope

The slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-4}{4}=- 1\). To draw the rise, start from a point on the line and move 4 units down (since the rise is - 4). To draw the run, from the end - point of the rise, move 4 units to the right.

Answer:

The rise is a vertical line segment of length 4 units (downward) and the run is a horizontal line segment of length 4 units (right - ward) starting from the end - point of the rise. The slope of the line is \(-1\).